# If 3 (5x – 7) – 4 (8x – 13) = 2 (9x – 11) – 17, then the value of (7 x – 5)/(11 x – 9) is

(a) -14/31

(b) -9/13

(c) 9/13

(d) 14/31

**Answer: (c) 9/13**

**Solution:-**

3 (5 x – 7) – 4 (8 x – 13) = 2 (9 x – 11) – 17

15 x – 21 – 32 x + 52 = 18 x – 22 – 17

– 17 x + 31 = 18 x – 39

18 x + 17 x = 31 + 39

35 x = 70

x = 70/35

x = 2

Then, the value of (7 x – 5)/(11 x -9)

Put the value of x = 2

Then, (7 x 2 – 5)/(11 x 2 – 9)

= (14 – 5)/(22 – 9)

= 9/13

Then, the value of (7 x – 5)/(11 x -9) is 9/13.

Hence, the correct answer is option (c) 9/13.